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Electron-hole symmetry and solutions of Richardson pairing model

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Abstract

Richardson approach provides an exact solution of the pairing Hamiltonian. This Hamiltonian is characterized by the electron-hole pairing symmetry, which is however hidden in Richardson equations. By analyzing this symmetry and using an additional conjecture, fulfilled in solvable limits, we suggest a simple expression of the ground state energy for an equally-spaced energy-level model, which is applicable along the whole crossover from the superconducting state to the pairing fluctuation regime. Solving Richardson equations numerically, we demonstrate a good accuracy of our expression.

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Authors and Affiliations

  1. Departement Fysica, Universiteit Antwerpen, Groenenborgerlaan 171, 2020, Antwerpen, Belgium

    Walter V. Pogosov, Nansheng Lin & Vyacheslav R. Misko

  2. Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, Izhorskaya 13, 125412, Moscow, Russia

    Walter V. Pogosov

Authors
  1. Walter V. Pogosov
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  2. Nansheng Lin
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  3. Vyacheslav R. Misko
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Correspondence to Vyacheslav R. Misko.

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Pogosov, W., Lin, N. & Misko, V. Electron-hole symmetry and solutions of Richardson pairing model. Eur. Phys. J. B 86, 235 (2013). https://doi.org/10.1140/epjb/e2013-40234-9

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  • DOI: https://doi.org/10.1140/epjb/e2013-40234-9

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